Pink Solution was not originally designed for use as a dishwasher or dish soap. We do however have many customers who have use it in their dishwashers. The level of 'success' largely depends on the nature of the water in your area. There's no harm in trying 1 teaspoon (5ml) of Pink Solution paste in the dishwasher soap dispenser.
As a dish/hand soap, we recommend a slightly stronger mix than a Heavy Mix. Try about 10:1 (10 parts water : 1 part Paste). The mix won't really 'suds', which to some is a key factor in washing dishes. This is a matter of personal preference.
With both hand washing and using a dishwasher, the concerns we hear most are that there sometimes appears to be a slight film on the surface of things like glass-wear. If you don't see a film or if it's slight enough not to bother you, great. If not, you can still enjoy Pink Solution in almost every other aspect of your cleaning.